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Finding the Fourth Proportional to 6,427.66, 9,641.09 and 2,048.26

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Solution

The fourth proportional to 6,427.66, 9,641.09 and 2,048.26 is: 3,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.66 : 9,641.09 = 2,048.26 : x
  2. Step 2: Convert to fraction form
    6,427.66/9,641.09 = 2,048.26/x
  3. Step 3: Cross multiply
    6,427.66x = 9,641.09 × 2,048.26
  4. Step 4: Simplify right side
    6,427.66x = 19,747,480.55
  5. Step 5: Solve for x
    x = 19,747,480.55/6,427.66
  6. Step 6: Final answer
    x = 3,072.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.